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Bose-Einstein Condensation from the QCD Boltzmann Equation

Department of Physics, University of Cape Town, Cape Town 7700, South Africa
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Particles 2019, 2(2), 231-241; https://doi.org/10.3390/particles2020016
Received: 28 February 2019 / Revised: 8 April 2019 / Accepted: 12 April 2019 / Published: 22 April 2019
(This article belongs to the Special Issue Nonequilibrium Phenomena in Strongly Correlated Systems)
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Abstract

We present a novel numerical scheme to solve the QCD Boltzmann equation in the soft scattering approximation, for the quenched limit of QCD. Using this we can readily investigate the evolution of spatially homogeneous systems of gluons distributed isotropically in momentum space. We numerically confirm that for so-called “overpopulated” initial conditions, a (transient) Bose-Einstein condensate could emerge in a finite time. Going beyond existing results, we analyze the formation dynamics of this condensate. The scheme is extended to systems with cylindrically symmetric momentum distributions, in order to investigate the effects of anisotropy. In particular, we compare the rates at which isotropization and equilibration occur. We also compare our results from the soft scattering scheme to the relaxation time approximation. View Full-Text
Keywords: QCD; Boltzmann equation; gluons; Bose-Einstein condensate; Fokker-Planck equation; relaxation time approximation; thermalization QCD; Boltzmann equation; gluons; Bose-Einstein condensate; Fokker-Planck equation; relaxation time approximation; thermalization
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Harrison, B.; Peshier, A. Bose-Einstein Condensation from the QCD Boltzmann Equation. Particles 2019, 2, 231-241.

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